85110381824 has 144 divisors (see below), whose sum is σ = 185070259920. Its totient is φ = 38831063040.

The previous prime is 85110381791. The next prime is 85110381827. The reversal of 85110381824 is 42818301158.

It can be written as a sum of positive squares in 8 ways, for example, as 25753830400 + 59356551424 = 160480^2 + 243632^2 .

It is a super-3 number, since 3×85110381824³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85110381827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137941964 + ... + 137942580.

Almost surely, 2^85110381824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85110381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92535129960).

85110381824 is an abundant number, since it is smaller than the sum of its proper divisors (99959878096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85110381824 is a wasteful number, since it uses less digits than its factorization.

85110381824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 41.

The spelling of 85110381824 in words is "eighty-five billion, one hundred ten million, three hundred eighty-one thousand, eight hundred twenty-four".